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Grubbs outlier test calculator

Paste a sample and significance level. The calculator identifies the observation farthest from the mean.

Approximate p-value: —

Fill in the fields above — the result is computed on this page.

Most extreme value
—
Position
—
G statistic
—
Critical G
—
G > critical G (1 = yes)
—
Mean
—
Standard deviation
—

Observation assessment

Position Value Standardized distance Flag
Fill in the fields above — the result is computed on this page.
What do these numbers mean?
  • Remove a point only after a substantive explanation of its origin.
  • One run can flag at most one observation.

The test assumes normal data and targets one outlier. Repeated testing after deletions changes the type-I error rate.

How do I use this page?
  1. Paste data and set α.
  2. Check the flagged value and G.
  3. Compare G with critical G and investigate the point's cause.

What this page does not do: The test assumes normal data and targets one outlier. Repeated testing after deletions changes the type-I error rate.

Further reading

Theory — what is the Grubbs test?

The Grubbs test checks the hypothesis that an approximately normal sample contains a single outlying value. The G statistic is the largest absolute distance of an observation from the mean divided by the standard deviation, compared against a critical value for the chosen significance level. Exceeding that critical value is only a statistical signal and does not automatically mean the point should be removed from the data.

Frequently asked questions

Does G above critical mean I must delete the point?
No. It is statistical evidence that should be combined with measurement knowledge.
Can the test detect several points at once?
No, it tests one most extreme observation.

See also

← All calculators

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